The PoincareÌ conjecture: in search of the shape of the universe / Donal O'Shea.
Publication details: New York : Walker & Co. ; Distributed to the trade by Holtzbrinck Publishers, 2007.Edition: 1st U.S. edDescription: ix, 293 : ill., ports., maps ; 25 cmISBN:- 080271532X
- 9780802715326
- QA612 .O83 2007
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QA491 .C76 1997 Polyhedra / | QA531 .M394 1998 Trigonometric delights / | QA611 .A3 R53 2008 Euler's gem : the polyhedron formula and the birth of topology / | QA612 .O83 2007 The PoincareÌ conjecture: in search of the shape of the universe / | QA614.86 .F352 2013 Fractals : a very short introduction / | QA699 .A13 1953 Flatland: a romance of many dimensions, | QA699 .A13 1994 Flatland : a romance of many dimensions / |
Includes bibliographical references (p. 259-272) and index.
Conceived in 1904, the PoincareÌ conjecture, a puzzle that speaks to the possible shape of the universe and lies at the heart of modern topology and geometry, has resisted attempts by generations of mathematicians to prove or to disprove it. Despite a million-dollar prize for a solution, Russian mathematician Grigory Perelman, posted his solution on the Internet instead of publishing it in a peer-reviewed journal. This book "tells the story of the fascinating personalities, institutions, and scholarship behind the centuries of mathematics that have led to Perelman's dramatic proof." The author also chronicles dramatic events at the 2006 International Congress of Mathematicians in Madrid, where Perelman was awarded a Fields Medal for his solution, which he declined.
Cambridge, April 2003 -- The shape of the earth -- Possible worlds -- The shape of the universe -- Euclid's geometry -- The non-Euclideans -- Bernhard Riemann's probationary lecture -- Riemann's legacy -- Klein and PoincareÌ -- PoincareÌ's topological papers -- The great savants -- The conjecture takes hold -- Higher dimensions -- A solution in the new millennium -- Madrid, August 2006.
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